Why is f'(x) =0 not enough to justify if there is a max or min? Sketch a counter-example.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 54E
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Please explain as detail as possible, thanks.

A common mistake.
Why is f'(x) =0 not enough to justify if there is a
max or min? Sketch a counter-example.
10
Submit
-10
-5
10
-10
Transcribed Image Text:A common mistake. Why is f'(x) =0 not enough to justify if there is a max or min? Sketch a counter-example. 10 Submit -10 -5 10 -10
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